Find the dimensions of a rectangle whose perimeter is 52 and the area is 96

then






with the solution:

Find the perimeter and area of a rectangle whose length is 5x - 2 and width is x-3.

What is the area of a circle whose circumference is π? Leave your answer in terms of π?

so

IF AN OBTUSE TRIANGLE HAS A BASE OF 7 INCHES AND HEIGHT OF 10 INCHES WHAT IS THE AREA OF THE TRIANGLE ?

it is 35 square inches

The area of a rectangle is 80 sq meters. the length is one more than three times the width. Find the dimensions of the rectangle.

1) A=lw=80
2) l=3w+1


(3w+1)w=80
3w^2+w-80=0

which leads to w=5
thus l=16
rectangle is
5m by 16m

a rectangle has one side equal to (2x+4)cm and a perimeter of (6x+4)cm what is the area of rectangle in terms of x

For convenience let's call the given side the length, so...
 
W are also given the perimeter...6x+4 and we for a rectangle, 
therefore: 

so we have enough information to solve for w: 

 
Now we have enough information to solve for area.

so

Basic Integral Approximations

The dimensions of a rectangular swimming pool are 15feet by 30 feet. The dimensions of a rectangular deck that surrounds the pool are 31 feet 40 feet. What is the area of the deck only?

 


 
so 790 square feet

find the area triangle of sides 5cm,6cm,7cm

where the semiperimeter is

 

a=5, b=6, c=7, s=18/2=9 

by substitution and simplification we get 
 


:)

What is the area of a circle that is inscribed in a square with an area of 4?

 
so  
for the circle... 
 
so  

 
 

What is the area of a regular octagon measuring 37 m on each side?

The formula for the area of a regular n-gon is 
 

where
s is the length of any side
n is the number of sides 


 
which is about 6610.1 m^2 
:)

Find the area of triangle ABC to the nearest tenth if necessary. A= 35 degrees b=3 ft c= 7 ft

the area is found immediately by the formula:

which when calculated gives: A=6.0 square feet (when you check make sure your calculator is in degree mode)
:)

A rectangle is 3 meters longer than it is wide. If the width of the rectangle is doubled and the length is decreased by 4 meters, the area is unchanged. Find original length and width

A rectangle is 3 meters longer than it is wide. If the width of the rectangle is doubled and the length is decreased by 4 meters, the area is unchanged. Find original length and width


Solution:

l=w+3 so 
 

After w is doubled and length is decreased by 4, 
 
Now since the area has not changed 



 
So width is 0 or 5m 
We can discard the 0 solution. 
Length is w+3, so length is 8m

Calculating Area

We can see that triangle area can be calculated by finding the vectors associated to points on a plane, computing their cross product, then dividing by 2 (cross products compute area of parallelograms).

I you need help with math, I can help you. Visit my mobile website: www.mathhelp.mobi

or email me at services@mathhelp.mobi

Miscellaneous Algebra problem

Find the dimensions of a rectangle such that it's perimeter is 100m and its area is 500 sqm.

Derive Area Formula for a Trapezoid

Use Triangles to derive the formula for a trapezoid

So we denote the trapezoid area as A-sub-T and subtract the area of the small triangle on top from the entire triangle. We can also use the idea of similar triangles to replace parameters from the top triangle.

Finally we rename h-sub-2 as h so that it looks more familiar.